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n200080 [17]
2 years ago
8

A species of horned beetle has a (starting) population size of 4000 individuals. Every month, 170 individuals are born. However,

you cannot assess the number of individuals that die every month because after death the animals are susceptible to a fungus that quickly degrades their carcasses. You can measure, though, that the population is declining over time, with the population size decreasing by 70 individuals every month (i.e. dN/dt). Calculate a) the total number of deaths per month (1pt) and the per capita death rate (
Mathematics
1 answer:
erma4kov [3.2K]2 years ago
8 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting population = 4000

Addition per month = 170

decline on population per month = 70

Increase rate in population per month (dt) :

Starting population = 4000

Number of births per month = 170

However, the population declines by 70 individuals each month

Hence,

Number of births - number of deaths(d) = 70

170 - d = - 70 ( decline?

170 + 70 = d

240 = d

d = number of deaths

Per capita death :

Total number of deaths per. Month / starting population

= 240 / 4000

= 0.06

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A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar
Elan Coil [88]

Answer:

500 lb

Step-by-step explanation:

You have to make a proportion:

\frac{part}{whole} = \frac{percent}{100}

77 lb is part of the whole weight ( which we don't know) so 77 will go on top

The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)

\frac{77}{x} = \frac{15.4}{100}

Then you cross multiply giving you: 7700 = 15.4x

then you divide 15.4 to both sides to isolate x which will give you 500

4 0
2 years ago
If r=[x,y,z] and r0=[x0,y0,z0], describe the set of all points (x,y,z) such that Ir-r0I =1.
sdas [7]

Answer:

The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form (x-x_0)^2+(y-y_0)^2+(z-z_0)^2=1 with:

-1+x₀<x<1+x₀

-1+y₀<y<1+y₀

-1+z₀<z<1+z₀

Step-by-step explanation:

All points required in this problem came from applying the definition of modulus of a vector:

Ir-r0I =1.

|(x,y,z)-(x_{0},y_{0},z_{0})|=|(x-x_{0},y-y_{0},z-z_{0})|=\sqrt{(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2}=1\\(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2=1^2=1

5 0
2 years ago
Jorge and Jillian have cell phones with different service providers. Jorge pays $50 a text month and $1 per text message sent. J
barxatty [35]

Answer:

When they send 25 texts each, their bills will be equal

Step-by-step explanation:

Let the number of text messages that makes their bill equal be x

Jorge will have a bill of = 50 + x(1) = 50 + x

Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x

Since their bills will now be equal, we equate both

50 + x = 72 + 0.12x

72-50 = x-0.12x

22 = 0.88x

x = 22/0.88

x = 25 texts

4 0
2 years ago
Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year
Mamont248 [21]

Answer: equations 1,3,4 and 5 stated has solutions.

Step-by-step explanation:

From the question, (x + 5) + 5 = (x + 5) + 5

The equations that represent the situation are:

1. x + 5 = (5 − x) − 5 :which has one solution

2. x + 5 = (x + 5) − 5 : many solutions

3. x + 5 = (x + 5) − 5: no solution

4. x + 5 = (5 − x) − 5 : many solutions

5. (x + 5) + 5 = (x + 5) + 5: many solutions

Equation 2 has no solution. While the other equations have one and more than one solutions.

6 0
2 years ago
Computing if a computer can do one calculation in 0.0000000015 second, then the function t(n) = 0.0000000015n gives the time req
Lelechka [254]

Answer:

t(5,000,000,000) = 7.5 sec

Explanation:

A computer take 0.0000000015 sec to do a calculation.

Given a function t(n) = 0.0000000015n

where n represent the number of calculation.

We need to find the total time computer to do 5 billion calculations.

We plug n = 5 billion = 5,000,000,000

Total taken time t(n) =0.0000000015n

t(5,000,000,000) = (0.0000000015)*(5,000,000,000)

t(5,000,000,000) = 1.5*5

t(5,000,000,000) = 7.5 sec

That's the final answer.

I hope it will help you.



4 0
2 years ago
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